1351961757000 has 384 divisors, whose sum is σ = 4699221246720. Its totient is φ = 350367360000.

The previous prime is 1351961756963. The next prime is 1351961757007. The reversal of 1351961757000 is 7571691531.

1351961757000 is a `hidden beast` number, since 1 + 3 + 5 + 19 + 61 + 7 + 570 + 0 + 0 = 666.

It is a super-3 number, since 3×1351961757000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1351961757007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97040035 + ... + 97053965.

It is an arithmetic number, because the mean of its divisors is an integer number (12237555330).

Almost surely, 2^{1351961757000} is an apocalyptic number.

1351961757000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351961757000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349610623360).

1351961757000 is an abundant number, since it is smaller than the sum of its proper divisors (3347259489720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1351961757000 is a wasteful number, since it uses less digits than its factorization.

1351961757000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14245 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The spelling of 1351961757000 in words is "one trillion, three hundred fifty-one billion, nine hundred sixty-one million, seven hundred fifty-seven thousand".